Tables of Bounds for Distributions with Monotone Hazard Rate
作者:
RichardE. Barlow,
AlbertW. Marshall,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1965)
卷期:
Volume 60,
issue 311
页码: 872-890
ISSN:0162-1459
年代: 1965
DOI:10.1080/01621459.1965.10480836
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
This paper presents in a form convenient for applications a number of bounds for distributions with monotone hazard rate. These bounds, together with their proofs and various generalizations have been obtained by Barlow and Marshall (1964). However, many of them can be characterized only through solutions of transcendental equations, and machine calculation has been necessary to make them accessible. Section 2 gives a listing of the results, and those without explicit forms are tabulated. Section 3 lists various related bounds which are of interest for purposes of comparison, and for use when the hypothesis of monotone hazard rate is not satisfied. Applications of the bounds are discussed in Section 4, together with some numerical examples.
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